{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "905a6f84",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "import numpy as np\n",
    "from matplotlib import rcParams\n",
    "config = {\"mathtext.fontset\":'stix'}\n",
    "rcParams.update(config)\n",
    "from matplotlib import cm\n",
    "from matplotlib.collections import LineCollection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2236b326",
   "metadata": {},
   "outputs": [],
   "source": [
    "def P(data):\n",
    "    date_array = np.array(data).reshape(1,-1)\n",
    "    date_list = date_array[0].tolist()\n",
    "    return date_list\n",
    "\n",
    "def bar_show(x,y,out_file,bond_label):#width过小,很可能就没有显示!!1\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.grid(False)\n",
    "    map_vir = cm.get_cmap(name='brg')\n",
    "#    norm = plt.Normalize(np.array(y).min(),np.array(y).max())\n",
    "    norm = plt.Normalize(0,0.02)\n",
    "    norm_y = norm(y)\n",
    "    color = map_vir(norm_y)\n",
    "\n",
    "    plt.bar(x, y, color='#f84d4d')\n",
    "    k_value = np.sum(y)\n",
    "    for x, y,z in zip(x, y,bond_label):\n",
    "        if y > 0.0005:\n",
    "            plt.text(x, y+0.0001, '%s' % str(z), ha='center', va='bottom',rotation=90, fontsize=10.5,fontname=\"Times New Roman\")\n",
    "                \n",
    "    legend = plt.legend(loc='best',title='      '+str(out_file)+'\\n'+'$\\it\\kappa$ = '+f'{k_value:.3f}')\n",
    "    legend.get_title().set_fontsize(fontsize = 16)\n",
    "    legend.get_title().set_fontname(fontname=\"Times New Roman\")\n",
    "    \n",
    "    plt.yticks(fontsize=16,fontname=\"Times New Roman\")\n",
    "    plt.ylabel('$\\it\\kappa$',fontsize=20,fontname=\"Times New Roman\")\n",
    "        \n",
    "    ax=plt.gca();#获得坐标轴的句柄\n",
    "    ax.spines['bottom'].set_linewidth(2);###设置底部坐标轴的粗细\n",
    "    ax.spines['left'].set_linewidth(2);####设置左边坐标轴的粗细\n",
    "    ax.spines['right'].set_linewidth(2);###设置右边坐标轴的粗细\n",
    "    ax.spines['top'].set_linewidth(2);####设置上部坐标轴的粗细  \n",
    "        \n",
    "    plt.xlim(-2, 45)\n",
    "    plt.ylim(0, 0.008)\n",
    "    ax.axes.xaxis.set_ticklabels([])\n",
    "    plt.xticks([])\n",
    "\n",
    "    my_y_ticks = np.arange(0,0.0080001,0.002) # 横坐标设置0,2,...,len(acc)-1，间隔为2\n",
    "    plt.yticks(my_y_ticks) \n",
    "    \n",
    "    plt.show()\n",
    "    svg_name = out_file+'.svg'\n",
    "    png_name = out_file+'.png'\n",
    "    fig.savefig(svg_name, format='svg',bbox_inches = 'tight')\n",
    "    fig.savefig(png_name, dpi=1200,format='png',bbox_inches = 'tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "dd67f695",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta: 0.057\n",
      "phi: -0.017\n",
      "kappa: 0.040\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta: 0.055\n",
      "phi: -0.023\n",
      "kappa: 0.033\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta: 0.058\n",
      "phi: -0.014\n",
      "kappa: 0.044\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta: 0.054\n",
      "phi: -0.018\n",
      "kappa: 0.036\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta: 0.052\n",
      "phi: -0.008\n",
      "kappa: 0.044\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta: 0.070\n",
      "phi: -0.016\n",
      "kappa: 0.054\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta: 0.057\n",
      "phi: -0.025\n",
      "kappa: 0.032\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta: 0.069\n",
      "phi: -0.015\n",
      "kappa: 0.054\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta: 0.067\n",
      "phi: -0.019\n",
      "kappa: 0.048\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eta: 0.044\n",
      "phi: -0.019\n",
      "kappa: 0.025\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#多轨道跃迁\n",
    "def BOBL_out(file):\n",
    "    f = open(file,'r')\n",
    "    line = f.readlines()\n",
    "\n",
    "    for index,lines in enumerate(line):\n",
    "        if \"eta_value:\" in lines:\n",
    "            eta_idx = index        \n",
    "        if \"phi_value:\" in lines:\n",
    "            phi_idx = index          \n",
    "        \n",
    "        if \"Bond\" in lines:\n",
    "            idx_bond = index\n",
    "        if \"HOMO\" in lines:\n",
    "            idx_homo = index\n",
    "    \n",
    "    trans_num = phi_idx - eta_idx\n",
    "    \n",
    "    label1 = np.loadtxt(file,skiprows=idx_bond,usecols=(0),max_rows=idx_homo-idx_bond-2,dtype=str)\n",
    "    label1 = [x[1:-1] for x in label1]\n",
    "    label2 = np.loadtxt(file,skiprows=idx_bond,usecols=(1),max_rows=idx_homo-idx_bond-2,dtype=str)\n",
    "    label2 = [x[0:-1] for x in label2]\n",
    "    label = []\n",
    "    for i in range(len(label1)):\n",
    "        label.append(label1[i]+'-'+label2[i])\n",
    "    \n",
    "    eta_inital = []\n",
    "    eta_final = []\n",
    "    phi = []\n",
    "    for i in range(trans_num):\n",
    "        eta_inital.append(np.loadtxt(file,skiprows=idx_bond,usecols=(2+i),max_rows=idx_homo-idx_bond-2))\n",
    "        eta_final.append(np.loadtxt(file,skiprows=idx_bond,usecols=(2+trans_num+i),max_rows=idx_homo-idx_bond-2))\n",
    "        phi.append(np.loadtxt(file,skiprows=idx_bond,usecols=(2+2*trans_num+i),max_rows=idx_homo-idx_bond-2))\n",
    "    eta_inital = sum(eta_inital)\n",
    "    eta_final = sum(eta_final)\n",
    "    phi = sum(phi)\n",
    "#    print(eta_inital,eta_final)\n",
    "    eta_value = eta_inital+eta_final\n",
    "    phi_value = 2*phi\n",
    "    k_value = eta_inital+eta_final+2*phi\n",
    "    \n",
    "    label_x = []\n",
    "    for i in range(len(label)):\n",
    "        label_x.append(i*1.12)\n",
    "\n",
    "    print('eta: '+f'{np.sum(eta_value):.3f}')\n",
    "    print('phi: '+f'{np.sum(phi_value):.3f}')\n",
    "    print('kappa: '+f'{np.sum(k_value):.3f}')\n",
    "    return label,k_value,label_x\n",
    "# a=BOBL_out('2a-s0-nao.dat')\n",
    "# bar_show(a[2],a[1],'2a',a[0])\n",
    "os.chdir('./')\n",
    "for filename in os.listdir('.'): \n",
    "    if filename.endswith('.dat'):\n",
    "        data = BOBL_out(filename)\n",
    "        bar_show(data[2],data[1],str(filename[0:-11]),data[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7854060a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "872084c0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "bce5bf20",
   "metadata": {},
   "outputs": [],
   "source": [
    "def delta_pz_show(x,y,out_file,bond_label):#width过小,很可能就没有显示!!1\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.grid(False)\n",
    "    map_vir = cm.get_cmap(name='bwr')\n",
    "    norm = plt.Normalize(-0.1,0.1)\n",
    "    norm_y = norm(y)\n",
    "    color = map_vir(norm_y)\n",
    "\n",
    "    plt.bar(x, y, color='#845EC2')\n",
    "    k_value = np.sum(y)\n",
    "    for x, y,z in zip(x, y,bond_label):\n",
    "        if y > 0.01:\n",
    "            plt.text(x+0.008,y+0.0038, '%s' % str(z), ha='center', va='bottom',rotation=90, fontsize=13.8,fontname=\"Times New Roman\")\n",
    "        if y < -0.01:\n",
    "            if len(z)==1:\n",
    "                plt.text(x+0.008, y-0.018, '%s' % str(z), ha='center', va='bottom',rotation=90, fontsize=13.8,fontname=\"Times New Roman\")\n",
    "            if len(z)==2:\n",
    "                plt.text(x+0.008, y-0.035, '%s' % str(z), ha='center', va='bottom',rotation=90, fontsize=13.8,fontname=\"Times New Roman\")  \n",
    "\n",
    "                \n",
    "    legend = plt.legend(loc='best',title=str(out_file))\n",
    "    legend.get_title().set_fontsize(fontsize = 18)\n",
    "    legend.get_title().set_fontname(fontname=\"Times New Roman\")\n",
    "    \n",
    "#    plt.xticks(fontsize=16,fontname=\"Times New Roman\",color='white')\n",
    "    plt.yticks(fontsize=18,fontname=\"Times New Roman\")\n",
    "#    plt.xlabel('Bond Index',fontsize=16,fontname=\"Times New Roman\")\n",
    "    plt.ylabel('$\\it\\Delta$${p}_\\mathregular{z}$',fontsize=20,fontname=\"Times New Roman\")\n",
    "        \n",
    "    ax=plt.gca();#获得坐标轴的句柄\n",
    "    ax.spines['bottom'].set_linewidth(2);###设置底部坐标轴的粗细\n",
    "    ax.spines['left'].set_linewidth(2);####设置左边坐标轴的粗细\n",
    "    ax.spines['right'].set_linewidth(2);###设置右边坐标轴的粗细\n",
    "    ax.spines['top'].set_linewidth(2);####设置上部坐标轴的粗细  \n",
    "        \n",
    "    plt.xlim(-2, 25)\n",
    "    plt.ylim(-0.25, 0.25)\n",
    "\n",
    "    ax.axes.xaxis.set_ticklabels([])\n",
    "    plt.xticks([])\n",
    "\n",
    "    my_y_ticks = np.arange(-0.2,0.201,0.1) # 横坐标设置0,2,...,len(acc)-1，间隔为2\n",
    "    plt.yticks(my_y_ticks) \n",
    "    \n",
    "    plt.show()\n",
    "    svg_name = str(out_file)[0:4]+str(out_file)[5:-1]+'.svg'\n",
    "    png_name = str(out_file)[0:4]+str(out_file)[5:-1]+'.png'\n",
    "    fig.savefig(svg_name,format='svg',bbox_inches = 'tight')\n",
    "    fig.savefig(png_name, dpi=1200,format='png',bbox_inches = 'tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "0372a6d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "def BOBL_pz_out(file):\n",
    "    f = open(file,'r')\n",
    "    line = f.readlines()\n",
    "\n",
    "    for index,lines in enumerate(line):\n",
    "        if \"HOMO\" in lines:\n",
    "            idx_homo = index\n",
    "        if \"LUMO\" in lines:\n",
    "            idx_lumo = index\n",
    "            \n",
    "    label = np.loadtxt(file,skiprows=idx_homo+1,usecols=(0),max_rows=idx_lumo-idx_homo-2,dtype=int)\n",
    "    \n",
    "    pz_homo = np.loadtxt(file,skiprows=idx_homo+1,usecols=(1),max_rows=idx_lumo-idx_homo-2)\n",
    "    pz_lumo = np.loadtxt(file,skiprows=idx_lumo+1,usecols=(1),max_rows=idx_lumo-idx_homo-2)\n",
    "\n",
    "        \n",
    "    return label,pz_homo,pz_lumo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "5c79c804",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
       "        18, 19, 20, 21]),\n",
       " array([ 0.21701,  0.40234,  0.     , -0.40234,  0.21701,  0.     ,\n",
       "        -0.31974,  0.18062,  0.20754, -0.     ,  0.20754,  0.18062,\n",
       "        -0.31974,  0.18693, -0.06852, -0.25306, -0.08472, -0.08472,\n",
       "        -0.25306, -0.06852,  0.18693]),\n",
       " array([ 0.22193,  0.0638 , -0.27633,  0.0638 , -0.22193,  0.0466 ,\n",
       "         0.16612, -0.17313,  0.11771, -0.517  , -0.11771,  0.17313,\n",
       "        -0.16612, -0.17842,  0.27965,  0.04511, -0.2825 ,  0.2825 ,\n",
       "        -0.04511, -0.27965,  0.17842]))"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "BOBL_pz_out('2a-s0-nao.dat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "062eccf2",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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iIhFKSUdERDyjpCMiIp5R0hEREc8o6YiIiGeUdERExDNKOiIi4hklHZFKRDciS6Qp68+sko5IJREdHU1GRoYSj0QMMyMjIyPoqaslichtcLyibXDES8ePH+frr78u8GAwkcosOjqaFi1aBD12u7htcJR0iqGkIyJSdlXpeToiIhLBlHRERMQzSjoiIuIZJR0REfGMko6IiHhGSUdERDyjpCMiIp5R0hEREc8o6YiIiGeUdERExDNKOiIi4hklHRER8YySjoiIeEZJR0REPKOkIyIinlHSERERzyjpiIiIZ5R0RETEM0o6IiLimYhMOs6585xzLzrnHvK/dilFm4bOuXuccxu8iFFERAqqEe4Ayso51xJ4GxhkZh86584FPnDOdTez9CLaNAUGAncCmZ4FKyIiQZyZhTuGMnHOLQPONbOuecreAg6Z2aAS2i4HLjCzs0rZlwFE2mckIhJOzjkAzMzlr4uoy2vOuTrAtcD6fFXrgauccw1LOIVGOSIiYRRRSQfoAkQDP+Qr/wao7q8vjoYsIiJhFGlJ51f+14x85Yf9r409jEXy6Ny5Mzt27Ai8X7lyJf379yc+Pp6bbrqJ3bt3hzE6EaksIi3p5DqS7311/2tWKE7unLvNOfdxKM5VHgcOHAhX1+WWmpoaSCzPPvssAwYM4De/+Q1r1qxhwYIFJCcnk5aWFuYoRSTcIm312h7/a/65m/r+1+9D0YmZJQPJuQsJQumrr74qqW+WLl3K9OnTQ911hXPOkZmZyZgxY5g+fXrQ95CUlMSoUaN47LHHwhihiIRbpCWdNHyLAZrmK28BHAU+8TyiMhoyZAjr168vdkWccy7iks6sWbNYvnw5GzZsIDMzk3HjxgXV5+Tk8O6774YpOhGpLCIq6ZjZIefci0CvfFVdgJfNLP9lt0onKSmJw4cPM3DgwMCywrzMjOTk5DBEdnKmTp1KVlYWTz/9NBdddBH16tULqn/uuec4duxYmKITkcoiEu/TaQt8DPzGzLY65+Lx3Sx6gZntcs5NBAYDV5rZ/nxtlwG9zaxFKfuqkPt0MjIyiI2NLbL+l19+oW7duiHtM9wyMjI4fPgwZ511VrhDEZEKVtx9OhE10gEws3Tn3GVAknNuB9Ac6GNmu/yHNAFaA7Vz2zjn6gHXAX2AJs65CcAKM/vS0+D9iks4QJVLOOD7nkv6vkWk6ou4kY6XKmKkk3Rz6eY1pi69KGR9eqUqf28iUnpVZkcCERGJbEo6IiLiGSUdERHxjJKOiIh4RklHREQ8o6QjIiKeUdIRERHPKOmIiIhnlHRERMQzSjoiIuIZJR0REfGMko6IiHhGSUdERDyjpCMiIp5R0hEREc8o6YiIiGeUdERExDNKOiIi4hklHRER8YySjoiIeEZJR0REPKOkIyIinlHSERERz5x00nHOrXXOtcnzPso5d7lz7pWTPbeIiFQtoRjp/BpIdc6NBTCzLDNbCWwNwblFRKQKCUXSWQpcD0x0zr3tnDvLX34kBOcWEZEqJBRJx8xsFdAeSAc+c87dHoLziohIFROKpNPROVfbzA6Z2XB8o57JwIQQnFtERKqQUCSdxcBFuW/M7A2gA5ASgnOLiEgVUqM8jZxzvYA44AdgrZkdyFtvZoeBP598eCIiUpWUOek45+YB4/MUZTvnUoDJZvZTyCITEZEqpzwjnVuBJcBHQAOgO/AHoK9z7hIz+yqE8RXKOXceMAvYBzQD/mpmn5bQ5i9APHAM+B64x8yyKzpWERH5r/Ikna/MbGTeAudcQ2Au8KZzrrOZVdhyaedcS+BtYJCZfeicOxf4wDnX3czSi2gzB0gws/7+988ADwFjKipOEREpqDwLCVb4f9EHmNmPZjYCeBC4OySRFW0OsMfMPvT3vQ1IBe4v7GDnXBwwEXgkT/Fi4HbnXOcKjlVERPIoT9L5NzDUOdc8f4WZLQJqnXRURXDO1QGuBdbnq1oPXOUfceU3FKier83HQA5wU0XEKSIihStP0nkOuAPY7Jxb6Jzrnq9++8mHVaQuQDS+VXN5fYMvsXQppE1PwICM3AL/5b9DQLeKCVNERApTnqSTCjyPL7mMwTef8q1z7lnn3DigR96DnXOdTj7MgF/5XzPylR/2vzYuos3BQhYNHC7ieBERqSDlWUiw1Mz+AeCcawD09X/1A27wlw8E3gPexzf6+ENIov2v/AsVqvtfs0p5fG6bQo93zt0G3Fa+0Io3delFJR9UiKSb363Q84eir1D0XRbljdPrduVVkXGG+zNRO+/bef3vsyhlTjq5Ccf/3z8BL/m/8M/zXIIvAfUFBuG7tBWqpLPH/5p/7qa+//X7Itq0LqS8PkXshG1myUCyc87KE6SIiBQupA9xM7O9+FaW/dHMWgAdgbdC2EUakAk0zVfeAjgKfFJIm0+BOs653MSUO0I7Dd9oTEREPBKypOOcG+ic+xB4M7fMzD4HxoWqDzM7BLwI9MpX1QV4uYj7g57EN9rqle/4HOCFUMUmIiIlO6mk45yr5py70Tm3Gd8ltu6Ay3uMP/GE0r1AW//9Nzjn4oF2wBT/+4nOuXXOuUb+/ncAj+Ofb/IbCTxkZltCHJuIiBSjvBt+1gL+hO+my7PwJZrPgJbA6SGKrVBmlu6cuwxIcs7tAJoDfcxsl/+QJvjmcGrnaXYnMMc593ieWGdXZJwiIlJQmZKOc+40fMukE/EtN3b4bhadZ2ZvOufSqOCkA2Bm64DriqibBEzKV3YCX4IUEZEwKlXS8V+qSgRux7fJZza+m0TvN7NNFRWciIhULSUmHefcw8At+C5X/YJvf7UFZran2IYiIiL5lGaksxLf0ueuwLC89+mIiIiURYmr18zsdTPrDVyMb6PPD51z1zvnXAlNRUREgpR6ybSZbTCzwcCN+HYb2OScG+mci6qw6EREpEop8306ZrbDzG7Ht91NM+BT59wU/13+IiIiRSr3zaFmtt/MZuB7PMAh4B3gzFAFJiIiVc9Jb4NjZplm9gjQGbgV2HjSUYmISJUUsr3XzCzHzJ43s66hOqeIiFQtId1lWkREpDhKOiIi4hklHRER8YySjoiIeEZJR0REPKOkIyIininXQ9xERCLJ1KUXedpOiqaRjoiIeEZJR0REPKOkIyIinlHSEZEqLy0tLeTnPHDgQMjPeSrQQgIR8ZzXE/Tx8fF07tyZPn36MGjQIHr27ElpnkOZmprK0KFDOXToEA8//DDXXHMNGzZs4KabbmLv3r20adOGZ555hg4dOoQkzlNh4YJGOiJySli0aBFDhgxh1apV9O3bl+HDh/Pqq69y7NixItssXryY1atXs3HjRnbv3k1KSgr9+vWjT58+7N+/n48++ogVK1Z4+F1EPo10ROSU4JyjW7dudOvWDYCdO3fy8ssvs2jRIurXr89VV13FTTfdFNSmbdu2tGzZEoDhw4fTrVs3RowYwf333x84JrdeSkcjHRE5JZw4cSLo/dlnn8348eNZuXIlixYtIicnp0Cb9PR0vv32W7Zv384VV1xBkyZNaN++PYcOHQLgu+++4+OPPw5pnHv27GHdunV8+umnfPPNNyE9d2WgpCMiVV6nTp149dVXi6yPjY3l5ptvLlB+xx13MGDAALp06ULr1q3517/+xVVXXcXvf/97mjVrRo8ePRg1alRIYvzb3/5G69atadWqFT169KBr1660aNGCX//61zz22GMh6aMyUNIREc917tyZHTt2BN6vXLmS/v37Ex8fz0033cTu3btD2t/GjRu54YYb2LdvX5naxcXFsWHDBn7++WeWLl1K3bp1adSoEatWrWLz5s3s2LGDTp06nXR8M2bMYP/+/fz973/n4MGDnDhxgiNHjvDtt9/y9NNP891333HfffeddD+VgZKOiHguNTU1kFieffZZBgwYwG9+8xvWrFnDggULSE5ODvky5w4dOtCsWbMi68u6BDo2NhbnXEiWTmdlZTFt2jS6du1K/fr1qVatGtHR0Zxxxhn06NGDGTNmYGYn3U9loIUEIhIWzjkyMzMZM2YM06dPZ/r06YG6pKQkRo0aFbLLSl999VWx9WbG0qVLg2I4mXZldeDAAbZs2UK7du0Krd+5c2eJsUQKJR0R8dysWbNYvnw5GzZsIDMzk3HjxgXV5+Tk8O6774asvyFDhrB+/fpiRwvOuQLJo7ztymrWrFkMHjyYvXv30qpVK2JiYoiOjubgwYNs376dBg0a8Pzzz59UH5WFko6IeG7q1KlkZWXx9NNPc9FFF1GvXr2g+ueee67Y+2fKKikpicOHDzNw4MBCbwo1M5KTk0PWrqwaN27M2rVrWbduHW+99RZ79+7FOUe7du2YNm0asbGxnH322SfdT2UQcUnHOdcUmA/sB5oCj5vZm6VoVwe4FZhoZq0qNkqRU8PJ3EEfFRXF8OHDGT58eIG6/v3707Nnz5MJLUjfvn3JyMgochcC5xw33nhjyNqVVU5ODgsXLmTNmjW0aNGCkSNHkpCQEKhPSUnh6quv5vPPPy+0fSTtZBBRCwmcc/WAd4BXzOxOYCSwzDlX7E+nc64+MBS4AzizwgMVkZMSGxtL/fr1Q37O4tStWzek7coiMTGRGTNmEB8fT7t27Zg/fz6JiYlkZWUB0Lt37wrZPy4cIm2kczdwOvACgJllOOdeAx4BOhfVyMwOAU84584FJnkQp4gUw6sJ+kixbNkykpOTGTp0aKDsyy+/ZPr06SQmJlK9evUwRhdakZZ0bgQ2WPCs3nrgFudcRzP7rIT2mRUXmoiUllcT9JEiJiaGc845J6jsrLPOYvbs2SxcuJBzzz03TJGFXsQkHedcC3yXxt7OV5W7T0Q3oKSkUzUWuktYeH3dPJKu0+e3fPlyBg4cSHR0dKH1Xk3QR4oHH3yQhQsXsmTJEmrVqhUod84xbtw4FixYUO5zZ2ZmUrt27VCEGRIRk3SAX/lfM/KVH/a/NvYwFhEB3nnnnULLR44cSY0aNWjUqBEAvXr1Cqr3aoI+UlxxxRV0796d1NRULrjgggL148aNo0aN8v26Xrp0aci26gmFSpF0nHPTgCtLOOxn/+uRfOW5FzuzQhjPbcBtoTqfVA3Hjh0jPT2dnJwczj777JBMIEe6sWPHsnv3bho2bBh0qezw4cOBuQjnHDt37izQ1osJ+kgSGxtb7Gdy5513FiiLj49n69atRbYxM5xzSjr5mdksYFZxxzjnmgDfAg3zVeUucfk+hPEkA8nOOV2OE7Kyspg6dSqPPPIIx44dwzlHzZo1GTBgALNnz6Zt27bhDjFsNmzYwLx582jatCm33HJLoPyMM87go48+KnbbGTl59957LwcOHKBfv35Uq1ZwMXJOTg7PPPNMGCIrWiQtmf4e2Ivv3py8Wvhf3/M2HDlVTJgwgZYtW7JlyxaysrJ45513GDFiBNWqVeP8888vdvfiqq5mzZpMmTKFuLg4JkyYQEZG/qvfUpGuu+46+vfvH9idOv9X69atuf3228MdZpBKMdIpDTMz59yTwCjnnMuzgq0L8JGZ7QpjeBIGXk20x8TEMHbs2MD7nj17smzZMl544QU+//xzhg8fzplnnhmS3YbD5WQ/yx49etCpUyf+93//l65du5bqUdASGsU9RG7nzp2VbieDSBrpACzEN3dzKQQuufUHEnMPcM4Ndc5t8t+Tk19N/zERk2wl/L755huOHz8eeL9ixQr+85//ANC+fXtWrVrF0qVLPY/rvfcq1+C+Tp06zJw5k6ioKBISEoJWYUnFyMnJYf78+QwYMIDRo0ezadOmoPq1a9fSvn378ARXhIj65WtmB5xzfYG/Ouf64bu0dr2ZrctzWCOgNRDYzMk5Vw24ARjkL5rpnPu/ZvYfbyKXUEtLS+O8887zpK8bb7yRdu3a0bhxY/bu3cvevXt57rnnAvWnn346Xbp0CWmfY8eO5eeffy6y3sxYv359IPlVJpdddhmXXXZZ4P2BAweIiYkJY0RVV2JiIikpKYwZM4bmzZszf/58YmJimDt3LlFRUfTu3bvQbYbCKaKSDoCZbQeuL6b+YeDhfGU5wLP+L6kC4uPj6dy5M3369GHQoEH07Nmzwi7p9OrVi3Xr1vHSSy9x6NAhLrnkEjp27Bh0zKWXXhrSPuvVq8dXX31Fp06dCp0gNrNCV4R5TTsLhFck7mQQcUlHJNeiRYuoVq0ar7zyCtOmTaNNmzZcffXV/O53vwv5pZ2YmBhuvfXWIuubNGkS0v4mT57Mjh07ih1BDRw4MKR9lod2FgivSNzJINLmdEQCnHN069aN++67jzVr1jBlyhS++OILBg0axJAhQyrdUtGyaNCgQYmX7EJ9SS89PZ0vv/wS8I1Q7r//fgYMGMCoUaPYvHlzoW2SkpL4xz/+QXZ2Njk5OQW+srOzWbRoUUjjlP/K3ckg/2Mgcncy2LZtW5giK5pGOhKxTpw4EfT+7LPPZvz48YwfP56MjAxee+21MEXmjVDOlcyZM4cpU6bQuHFjbrzxRnJycli8eDGTJk3i/PPPZ8mSJVx99dX07ds3qJ12FgivitzJoKJUrmhESqlTp068+uqr/Pa3vy20PjY2lptvvtnjqELH67mSBx54gCVLlvCnP/2JvXv3csUVVzB79mzuuOMOAK688komT55cIOmAdhYIt/LsZBBOSjoSkTZu3MjmzZvZt29flbzr3eu5knr16jF48GAAmjdvzrx58wqsDkxNTQ1JX3Jq05yORKwOHTpUyYQD3s+VLFq0iCeffDLw/ne/+13QTYebN2/m448/Dll/curSSEekEvJ6rqR///507tyZY8eOFbry76yzzuLFF18MWX9y6lLSEamkvJ4rKW7Zd7169SJ6mx+pPJR0RCRibvKMlAfbRUqc4aCkI6ecqv4LoTzfn27yFK8o6YiIHh8tnlHSERHd5CmeUdIR8TvVd0OOhJs8MzMzqV27duD98ePHee+99zhw4ABxcXHEx8eHMbqC9IjzgnSfjpxSUlNTadeuHS1atOCll14CfI9cjouLo1WrViQkJBS5z5iE31tvvRX477S0NNq2bcsll1zCbbfdRp8+fejbty/79u0LY4Q+WVlZTJo0idNPP50OHTqQkJBAbGwsgwcPJj09PdzhhZWSjpxSFi9ezOrVq9m4cSO7d+8mJSWFfv360adPH/bv389HH33EihUrwh1mhakMj0M4GXl/Yd91111cd9117Nmzh4yMDL7//nsWL17MvHnzwhihjx5xXjQlHTmltG3blpYtW3LGGWcwfPhw5s6dy4gRI/jb3/5GrVq1iI6OLvbxv5VdJD5Jsiw6dOgQSCrNmjVj/vz5NG/ePFDfpk2bSvF45txHnLdu3ZoaNWrQs2dPsrOzeeGFF3j//fdJSko6ZbcVUtKRU0p6ejrffvst27dv54orrqBJkya0b9+eQ4cOAfDdd99F9HYviYmJzJgxg/j4eNq1a8f8+fNJTEwkKysLgN69e5OWlhbmKMuvb9++1K1bl0GDBlG3bl22b98eqDt06BBLly5l3bp1xZzBG5X1EeeVgRYSyCnljjvuYMCAAaSlpXHdddexaNEiMjMz+f3vf89nn31GdHR0YK4nEkXikyTL6vbbb+ecc85h4sSJPPzwwzRq1Ijs7Gz2799Pv379KsVzlMLxiPNIoaQjp5S4uDg2bNgQVFa3bl1WrVpFRkYGMTExFfbYay9E4pMky6Nfv35s2rSJrVu3kpaWxvHjx+nYsSNxcXHhDg0IzyPOI4WSjohfSUuGI0HukySXLFkStHFn7pMkFyxYEMboQi8uLq5AoqksS99LesR5zZo1PYym8lDSEalCIvFJkmURKXvERUqc4eCK22vpVOecM6DY/ai8knTzu6U6LhT7innZl3ivsowEyqNHjx6l2iMuOzvbw6gKipQ4K0ruJWozK3CtWkmnGJUp6YiURlX/C/utt94q1R5xI0eODEN0/xUpcVYUJZ1yUtKRSHMq/IWdkZFR7PzbL7/8Uim2m4mUOCtCcUlH9+lEOK/uMF++fDlHjx71pC8pP68fcx0OkbBHHEROnF6L3BnFU0ROTg4LFy5kzZo1tGjRgpEjR5KQkBCoX7t2LQMHDuTzzz8PSX/vvPNOoeUjR46kRo0aNGrUCPAtCZXKR7tFS2Wny2vFqAyX18aOHUtKSgpjxoyhefPmbNiwgZiYGObOnUtUVBQ7d+7k17/+dcgulyQkJLB7924aNmwY9H3v2bOHZs2aUb16dZxzEb+Hl4hUHM3plFNlSDqxsbE88sgjBe4wf+yxx0hMTOTYsWOcffbZIUs6x48fZ968eTRt2pRbbrklUH7GGWeQmppKs2bNQtKPiFRdmtOJYMXdYf7cc88F9nMKlZo1azJlyhTi4uKYMGECGRkZIT2/iJzalHQqudw7zI8dOxZUnnuH+bZt2yqk3x49ejBr1iweeughXn311YjeGkZEKg8tJKjkwnmHeZ06dZg5cyarV68mISEhaFsVEZHyiLg5HedcU2A+sB9oCjxuZm+W0CYeWAh0B34AlgKzzex4Ce3CPqcjIhJpqsycjnOuHvAO8IqZ3QmMBJY553oW06YR8DSwChgNbAdmAg9UfMQiIpJXRI10nHNJwG1AY/MH7px7EuhsZp2LaHMb8P/MbIf/vQPeBboB9cwsq5j+NNIRESmjKjPSAW4ENlhwFlgPJDjnOhbR5l+5CQfA3/ZFIAqoV2GRiohIARGTdJxzLYAz8c3J5PWN/7VbYe3MbG8hxTWBLWam9cAiIh6KmKQD/Mr/mj9RHPa/Ni7Dua7EN68jIiIeqhRLpp1z0/AlguL87H89kq8896HvRc7N5OurL3DYzJYXc8xt+OaOREQkhCpF0jGzWcCs4o5xzjUBvgUa5quq73/9vqR+nHMxwETg/5QQTzKQnLuQQEREQiOSLq99D+zFd29OXi38r+8V19g5Vwt4CBhtZodCH56IiJQkYpKOf9XZk8CFLnhPli7AR2a2q6i2zrko4FEgycx25ynPn8BERKQCRUzS8VuIb+7mUghccusPJOYe4Jwb6pzb5Jw71/8+Gvg7vptCWznn+jvnrnDOJQJ3eBq9iMgprlLM6ZSWmR3wLwT4q3OuH75La9eb2bo8hzUCWvPfe3BWAhcDAws5ZaHLrEVEpGJE1I4EXtOOBCIiZVeVdiQQEZEIpqQjIiKeUdIRERHPKOmIiIhnlHRERMQzSjoiIuIZJR0REfGMko6IiHhGSUdERDyjpCMiIp5R0hEREc8o6YiIiGeUdERExDMR9WiDcAl+ZpyIiJSXRjoiIuIZPU9HREQ8o5GOiIh4RklHREQ8o6QjIiKeUdIRERHPKOmIiIhnlHRERMQzSjoiIuIZJR0REfGMko6IiHjm/wN1bmgD9C1gcAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def delta_pz(new_file,old_file):\n",
    "    new_data = BOBL_pz_out(new_file)\n",
    "    old_data = BOBL_pz_out(old_file) \n",
    "    \n",
    "    delta_homo_pz = []\n",
    "    delta_lumo_pz = []\n",
    "    for i in range(len(new_data[0])):\n",
    "        for j in range(len(old_data[0])):\n",
    "            if new_data[0][i] == old_data[0][j]:\n",
    "                delta_homo_pz.append([new_data[0][i],np.abs(new_data[1][i])-np.abs(old_data[1][j])])\n",
    "                delta_lumo_pz.append([new_data[0][i],np.abs(new_data[2][i])-np.abs(old_data[2][j])])\n",
    "                \n",
    "    for i in range(len(new_data[0])):\n",
    "        if new_data[0][i] not in old_data[0]:\n",
    "            delta_homo_pz.append([new_data[0][i],new_data[1][i]])\n",
    "            delta_lumo_pz.append([new_data[0][i],new_data[2][i]])            \n",
    "                \n",
    "    label_x = []\n",
    "    for i in range(len(old_data[0])):\n",
    "        label_x.append(i*1.12)\n",
    "        \n",
    "\n",
    "    return [str(x) for x in new_data[0]][0:len(old_data[0])],np.array(delta_homo_pz)[:,1:2].flatten()[0:len(old_data[0])].astype('float64'),\\\n",
    "np.array(delta_lumo_pz)[:,1:2].flatten()[0:len(old_data[0])].astype('float64'),label_x\n",
    "\n",
    "\n",
    "b_pyrrole_delta_pz = delta_pz('2b-pyrrole-s0-nao.dat','2a-s0-nao.dat')                   \n",
    "delta_pz_show(b_pyrrole_delta_pz[3],b_pyrrole_delta_pz[1],'HOMO 2b-pyrrole$-$2a',b_pyrrole_delta_pz[0])\n",
    "delta_pz_show(b_pyrrole_delta_pz[3],b_pyrrole_delta_pz[2],'LUMO 2b-pyrrole$-$2a',b_pyrrole_delta_pz[0])\n",
    "\n",
    "b_thiophene_delta_pz = delta_pz('2b-thiophene-s0-nao.dat','2a-s0-nao.dat')                   \n",
    "delta_pz_show(b_thiophene_delta_pz[3],b_thiophene_delta_pz[1],'HOMO 2b-thiophene$-$2a',b_thiophene_delta_pz[0])\n",
    "delta_pz_show(b_thiophene_delta_pz[3],b_thiophene_delta_pz[2],'LUMO 2b-thiophene$-$2a',b_thiophene_delta_pz[0])\n",
    "\n",
    "b_imidazole_delta_pz = delta_pz('2b-imidazole-s0-nao.dat','2a-s0-nao.dat')                   \n",
    "delta_pz_show(b_imidazole_delta_pz[3],b_imidazole_delta_pz[1],'HOMO 2b-imidazole$-$2a',b_imidazole_delta_pz[0])\n",
    "delta_pz_show(b_imidazole_delta_pz[3],b_imidazole_delta_pz[2],'LUMO 2b-imidazole$-$2a',b_imidazole_delta_pz[0])\n",
    "\n",
    "b_pyridine_delta_pz = delta_pz('2b-pyridine-s0-nao.dat','2a-s0-nao.dat')                   \n",
    "delta_pz_show(b_pyridine_delta_pz[3],b_pyridine_delta_pz[1],'HOMO 2b-pyridine$-$2a',b_pyridine_delta_pz[0])\n",
    "delta_pz_show(b_pyridine_delta_pz[3],b_pyridine_delta_pz[2],'LUMO 2b-pyridine$-$2a',b_pyridine_delta_pz[0])\n",
    "\n",
    "b_triazine_delta_pz = delta_pz('2b-triazine-s0-nao.dat','2a-s0-nao.dat')                   \n",
    "delta_pz_show(b_triazine_delta_pz[3],b_triazine_delta_pz[1],'HOMO 2b-triazine$-$2a',b_triazine_delta_pz[0])\n",
    "delta_pz_show(b_triazine_delta_pz[3],b_triazine_delta_pz[2],'LUMO 2b-triazine$-$2a',b_triazine_delta_pz[0])\n",
    "\n",
    "\n",
    "\n",
    "d_pyrrole_delta_pz = delta_pz('2d-pyrrole-s0-nao.dat','2a-s0-nao.dat')                   \n",
    "delta_pz_show(d_pyrrole_delta_pz[3],d_pyrrole_delta_pz[1],'HOMO 2d-pyrrole$-$2a',d_pyrrole_delta_pz[0])\n",
    "delta_pz_show(d_pyrrole_delta_pz[3],d_pyrrole_delta_pz[2],'LUMO 2d-pyrrole$-$2a',d_pyrrole_delta_pz[0])\n",
    "\n",
    "d_thiophene_delta_pz = delta_pz('2d-thiophene-s0-nao.dat','2a-s0-nao.dat')                   \n",
    "delta_pz_show(d_thiophene_delta_pz[3],d_thiophene_delta_pz[1],'HOMO 2d-thiophene$-$2a',d_thiophene_delta_pz[0])\n",
    "delta_pz_show(d_thiophene_delta_pz[3],d_thiophene_delta_pz[2],'LUMO 2d-thiophene$-$2a',d_thiophene_delta_pz[0])\n",
    "\n",
    "d_imidazole_delta_pz = delta_pz('2d-imidazole-s0-nao.dat','2a-s0-nao.dat')                   \n",
    "delta_pz_show(d_imidazole_delta_pz[3],d_imidazole_delta_pz[1],'HOMO 2d-imidazole$-$2a',d_imidazole_delta_pz[0])\n",
    "delta_pz_show(d_imidazole_delta_pz[3],d_imidazole_delta_pz[2],'LUMO 2d-imidazole$-$2a',d_imidazole_delta_pz[0])\n",
    "\n",
    "d_pyridine_delta_pz = delta_pz('2d-pyridine-s0-nao.dat','2a-s0-nao.dat')                   \n",
    "delta_pz_show(d_pyridine_delta_pz[3],d_pyridine_delta_pz[1],'HOMO 2d-pyridine$-$2a',d_pyridine_delta_pz[0])\n",
    "delta_pz_show(d_pyridine_delta_pz[3],d_pyridine_delta_pz[2],'LUMO 2d-pyridine$-$2a',d_pyridine_delta_pz[0])\n",
    "\n",
    "d_triazine_delta_pz = delta_pz('2d-triazine-s0-nao.dat','2a-s0-nao.dat')                   \n",
    "delta_pz_show(d_triazine_delta_pz[3],d_triazine_delta_pz[1],'HOMO 2d-triazine$-$2a',d_triazine_delta_pz[0])\n",
    "delta_pz_show(d_triazine_delta_pz[3],d_triazine_delta_pz[2],'LUMO 2d-triazine$-$2a',d_triazine_delta_pz[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "9bbaaa56",
   "metadata": {},
   "outputs": [],
   "source": [
    "#python将svg格式转为emf格式\n",
    "#安装inkscape的时候记得加到路径中\n",
    "import numpy as np\n",
    "import subprocess, os\n",
    "\n",
    "def svg_to_emf(svg_figpath):\n",
    "    if True:\n",
    "        cwd_path = os.getcwd()\n",
    "        svg_figpath = os.path.join(cwd_path, svg_figpath)\n",
    "    #   print(svg_figpath)\n",
    "    # inkscape.exe的绝对路径\n",
    "    inkscape_path = 'D:\\\\work_setup\\\\lnkscape\\\\Inkscape\\\\bin\\\\inkscape.exe' \n",
    "    if svg_figpath is not None:\n",
    "        path, svgfigname = os.path.split(svg_figpath)\n",
    "        figname, figform = os.path.splitext(svgfigname)\n",
    "        emf_figpath = os.path.join(path, figname + '.emf')\n",
    "        subprocess.call(\"{} {} -T -o {}\".format(inkscape_path, svg_figpath, emf_figpath), shell=True)\n",
    "        # os.remove(svg_figpath)\n",
    "        \n",
    "svgFiles = []\n",
    "for filename in os.listdir('.'): \n",
    "    if filename.endswith('.svg'):\n",
    "        svgFiles.append(filename)\n",
    "        \n",
    "for i in svgFiles:\n",
    "    svg_to_emf(i)\n",
    "    os.remove(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "21e2efeb",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
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 },
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